Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6601 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 10\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 6602 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 10\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 6603 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 10\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 6604 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 6605 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 6606 | Find the perimeter $ P $ of a trapezoid if long base $a = 5 \sqrt{ 18 }\, \text{in}$, short base $b = 2 \sqrt{ 50 }\, \text{in}$, side $c = 3 \sqrt{ 2 }\, \text{in}$ and height $h = \sqrt{ 50 }\, \text{in}$. | 1 |
| 6607 | Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{mm}$, short base $b = 24\, \text{mm}$ and height $h = 52.5\, \text{mm}$. | 1 |
| 6608 | Find the median $ m $ of a trapezoid if long base $a = 42\, \text{mm}$, short base $b = 24\, \text{mm}$ and height $h = 52.5\, \text{mm}$. | 1 |
| 6609 | Find the long base $ a $ of a trapezoid if diagonal $d = 25\, \text{mm}$ and height $h = 15\, \text{mm}$. | 1 |
| 6610 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{mm}$, diagonal $d = 25\, \text{mm}$ and height $h = 15\, \text{mm}$. | 1 |
| 6611 | Find the area $ A $ of a trapezoid if long base $a = 22\, \text{mm}$, diagonal $d = 25\, \text{mm}$ and height $h = 15\, \text{mm}$. | 1 |
| 6612 | Find the area $ A $ of a trapezoid if long base $a = 23\, \text{mm}$, diagonal $d = 25\, \text{mm}$ and height $h = 15\, \text{mm}$. | 1 |
| 6613 | Find the area $ A $ of a trapezoid if long base $a = 24\, \text{mm}$, diagonal $d = 25\, \text{mm}$ and height $h = 15\, \text{mm}$. | 1 |
| 6614 | Find the short base $ b $ of a trapezoid if long base $a = 22\, \text{in}$, height $h = 7.5\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 6615 | Find the short base $ b $ of a trapezoid if long base $a = 22\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 6616 | Find the short base $ b $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 11\, \text{mm}$ and angle $\alpha = 30^o$. | 1 |
| 6617 | Find the side $ c $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 11\, \text{in}$ and angle $\alpha = 30^o$. | 1 |
| 6618 | Find the side $ c $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 11\, \text{in}$ and height $h = 5\, \text{in}$. | 1 |
| 6619 | Find the angle $ \alpha $ of a trapezoid if long base $a = 22\, \text{in}$ and short base $b = 11\, \text{in}$. | 1 |
| 6620 | Find the long base $ a $ of a trapezoid if short base $b = 2\, \text{cm}$, side $c = 14\, \text{cm}$ and height $h = 12\, \text{cm}$. | 1 |
| 6621 | Find the long base $ a $ of a trapezoid if long base $a = 11.5\, \text{in}$, short base $b = 9.2\, \text{in}$ and side $c = 7.5\, \text{in}$. | 1 |
| 6622 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 3\, \text{mm}$ and side $c = 64.5\, \text{mm}$. | 1 |
| 6623 | Find the side $ c $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 32\, \text{in}$. | 1 |
| 6624 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 10\, \text{in}$. | 1 |
| 6625 | Find the angle $ \beta $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 10\, \text{in}$. | 1 |
| 6626 | Find the long base $ a $ of a trapezoid if short base $b = 9.6\, \text{mm}$, height $h = 12\, \text{mm}$ and area $A = 171.6\, \text{mm}^2$. | 1 |
| 6627 | Find the short base $ b $ of a trapezoid if long base $a = 1.3\, \text{m}$, height $h = 10\, \text{cm}$ and angle $\alpha = 45^o$. | 1 |
| 6628 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 11\, \text{in}$ and angle $\alpha = 25^o$. | 1 |
| 6629 | Find the height $ h $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 11\, \text{in}$ and angle $\alpha = 25^o$. | 1 |
| 6630 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{cm}$, height $h = 6\, \text{cm}$ and area $A = 42\, \text{cm}$. | 1 |
| 6631 | Find the long base $ a $ of a trapezoid if short base $b = 105.7\, \text{mm}$. | 1 |
| 6632 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$ and short base $b = 7\, \text{mm}$. | 1 |
| 6633 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 7\, \text{mm}$, side $c = 5\, \text{mm}$ and diagonal $d = 5\, \text{mm}$. | 1 |
| 6634 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 7\, \text{mm}$ and side $c = 5\, \text{mm}$. | 1 |
| 6635 | Find the angle $ \beta $ of a trapezoid if long base $a = 1340\, \text{mm}$, short base $b = 1140\, \text{mm}$ and height $h = 900\, \text{mm}$. | 1 |
| 6636 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 2.5\, \text{in}$. | 1 |
| 6637 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 22.5^o$. | 1 |
| 6638 | Find the long base $ a $ of a trapezoid if long base $a = 128\, \text{in}$, short base $b = 78\, \text{mm}$ and height $h = 48\, \text{mm}$. | 1 |
| 6639 | Find the long base $ a $ of a trapezoid if long base $a = 128\, \text{in}$, short base $b = 78\, \text{in}$ and height $h = 48\, \text{in}$. | 1 |
| 6640 | Find the short base $ b $ of a trapezoid if long base $a = 26\, \text{mm}$ and side $c = 13.3\, \text{mm}$. | 1 |
| 6641 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and angle $\alpha = 75^o$. | 1 |
| 6642 | Find the side $ c $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and angle $\alpha = 75^o$. | 1 |
| 6643 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 6644 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 6645 | Find the height $ h $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 6646 | Find the long base $ a $ of a trapezoid if height $h = 16\, \text{mm}$ and area $A = 672\, \text{mm}^2$. | 1 |
| 6647 | Find the long base $ a $ of a trapezoid if short base $b = 2.8\, \text{m}$ and side $c = 3\, \text{mm}$. | 1 |
| 6648 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 90\, \text{mm}$, side $c = 8\, \text{mm}$, height $h = 8\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 6649 | Find the angle $ \alpha $ of a trapezoid if long base $a = 180\, \text{in}$, short base $b = 138\, \text{in}$ and height $h = 96\, \text{in}$. | 1 |
| 6650 | Find the angle $ \alpha $ of a trapezoid if long base $a = 180\, \text{in}$, diagonal $d = 138\, \text{in}$ and height $h = 96\, \text{in}$. | 1 |